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Finding the Fourth Proportional to 322,882.78, 484,319.31 and 145,264.36

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Solution

The fourth proportional to 322,882.78, 484,319.31 and 145,264.36 is: 217,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,882.78 : 484,319.31 = 145,264.36 : x
  2. Step 2: Convert to fraction form
    322,882.78/484,319.31 = 145,264.36/x
  3. Step 3: Cross multiply
    322,882.78x = 484,319.31 × 145,264.36
  4. Step 4: Simplify right side
    322,882.78x = 70,354,334,602.79
  5. Step 5: Solve for x
    x = 70,354,334,602.79/322,882.78
  6. Step 6: Final answer
    x = 217,894.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.